{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "480765be",
   "metadata": {},
   "outputs": [],
   "source": [
    "from astropy.io import fits\n",
    "import HAWCtoHerschel as HtoH"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "d5477674",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Source information\n",
    "SourceName = 'Fil2'\n",
    "FullName = 'Filament 2'\n",
    "# Loading the fits files\n",
    "SourceT = fits.open('../FIELDMAPS_Plots/'+SourceName+'/Data/'+SourceName+'_Tdust_10_10.fits')\n",
    "SourceN = fits.open('../FIELDMAPS_Plots/'+SourceName+'/Data/'+SourceName+'_N_10_10.fits')\n",
    "SourcePol = fits.open('../FIELDMAPS_Plots/'+SourceName+'/Data/'+SourceName+'_Gal.fits')\n",
    "SourcePlanck = fits.open('../FIELDMAPS_Plots/'+SourceName+'/Data/'+SourceName+'_Planck.fits')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "8fbf97a2",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Plot parameters\n",
    "ScaleLength = 0.0150779 # 0.0154854 # 1 pc in degrees for the target\n",
    "\n",
    "# Region location, width, and height\n",
    "l_center = 25.2134526 # Position in galactic longitude (degrees)\n",
    "b_center = -0.3693387 # Position in galactic latitude (degrees)\n",
    "l_width = 0.4863924 # Width in galactic longitude (degrees)\n",
    "b_height = 0.2545332 # Height in galactic latitude (degrees)\n",
    "Region = [l_center,b_center,l_width,b_height]\n",
    "\n",
    "# Intensity contours for the plot\n",
    "Icontours = [10, 20, 30, 40, 50, 60] # in mJy/arcsec^2\n",
    "# Ranges for plots\n",
    "Nscale = [0,1.5e+22] # Range for column density in cm^-2\n",
    "Tscale = [15.0,30.0] # Range for temperature map in K\n",
    "Iscale = [0.0,20.0] # Range for intensity map in mJy/arcsec^2\n",
    "# Vector scaling fraction in polarization plots\n",
    "Pvscale = 0.6\n",
    "\n",
    "# Figure size\n",
    "MapFigSize = [10.67,6] # in inches\n",
    "\n",
    "# Effective HAWC+ beam size to use\n",
    "HAWCBeam = 0.00519 # 18.7'' in Band E"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "a2a163b6",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Beam Size of polarization data\n",
      "18.2\n",
      "Beam size of target pojection\n",
      "36.395999999999994\n",
      "Pixel size of the polarization data\n",
      "4.550000000000001\n",
      "Pixel size of the target projection\n",
      "14.0000004\n",
      "Target standard deviation for smoothing in arcseconds\n",
      "13.384761981071023\n",
      "Target standard deviation for smoothing in pixels\n",
      "2.941705929905719\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING: nan_treatment='interpolate', however, NaN values detected post convolution. A contiguous region of NaN values, larger than the kernel size, are present in the input array. Increase the kernel size to avoid this. [astropy.convolution.convolve]\n",
      "c:\\Users\\simon\\OneDrive\\Python\\FIELDMAPS_Testing_Herschel\\HAWCtoHerschel.py:96: RuntimeWarning: invalid value encountered in divide\n",
      "  dPI = ((StokesQ*dQ)**2.0 + (StokesU*dU)**2.0)**0.5/PI_biased\n",
      "c:\\Users\\simon\\OneDrive\\Python\\FIELDMAPS_Testing_Herschel\\HAWCtoHerschel.py:106: RuntimeWarning: invalid value encountered in divide\n",
      "  P_biased = 100.0*PI_biased/StokesI\n",
      "c:\\Users\\simon\\OneDrive\\Python\\FIELDMAPS_Testing_Herschel\\HAWCtoHerschel.py:109: RuntimeWarning: invalid value encountered in divide\n",
      "  dP = np.absolute(P_biased*((dPI/PI_biased)**2.0 + (dI/StokesI)**2.0)**0.5)\n",
      "c:\\Users\\simon\\OneDrive\\Python\\FIELDMAPS_Testing_Herschel\\HAWCtoHerschel.py:120: RuntimeWarning: invalid value encountered in divide\n",
      "  dO = (0.5*180.0/math.pi)*((StokesQ*dU)**2.0 +\n"
     ]
    }
   ],
   "source": [
    "# Reprojecting the HAWC+ Stokes data to the Herschel pixel scale\n",
    "NewPol = HtoH.ReprojectCube(SourcePol,SourceN, Smooth=True)\n",
    "#NewPol.writeto('test2.fits', overwrite=True)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "31eb9087",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "c:\\Users\\simon\\OneDrive\\Python\\FIELDMAPS_Testing_Herschel\\HAWCtoHerschel.py:228: RuntimeWarning: invalid value encountered in divide\n",
      "  imask_01 = np.where(Pdata[0].data/Pdata[1].data < IdI) # Total intensity SNR threshold\n"
     ]
    }
   ],
   "source": [
    "# Creating downsampled vector catalogs (independent vectors)\n",
    "# Creating the mask for the region\n",
    "DownsampleMask = HtoH.DownsampleVectors(NewPol,Step=2)\n",
    "# Creating the new catalogs for the region\n",
    "CatI, CatdI, CatQ, CatdQ, CatU, CatdU, CatP, CatdP, CatO, CatB,CatdO, CatPI, CatdPI, CatN, CatT = HtoH.MakePCats(SourceN, SourceT, SourcePol, NewPol, CatMask=DownsampleMask)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "2c4fb0cb",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "===\n",
      "Curve fit test\n",
      "Log scale fit: (-0.5773303412270228,19.520217017712564)\n",
      "Direct power law fit: (-0.548130730488867,20.42497074466873)\n",
      "===\n",
      "\n",
      "Power law index: -0.5773303412270228 ± 0.030674621398222798\n",
      "Coefficient: 19.520217017712564 ± 1.348176760012549\n",
      "Chi-Squared: 519.2129558172637\n",
      "Number of elements: 314\n",
      "Reduced Chi-Squared: 1.6641440891578965\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 512x384 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "PvI_plot_Step2 = HtoH.PvI(CatP, CatdP, CatI, Iscale=[0.7,130.0], Pscale=[0.0,30.0], showfit='true', weighted='false', errorbars='true', Source=FullName)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "59006181",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Power law index: -1.0103019252337617 ± 0.06056825930213043\n",
      "Coefficient: 6.372162360514441e+22 ± 1.9390299592159253e+23\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 512x384 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Polarization fraction as a function of the column density\n",
    "PvN_plot_Step2 = HtoH.PvN(CatP, CatdP, CatN, Nscale=[1e+21,3e+22], Pscale=[0.0,30.0], showfit='true', weighted='false', errorbars='true', Source=FullName)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "c49996f1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 512x384 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Polarization fraction as a function of the dust column density\n",
    "PvT_plot_Step2 = HtoH.PvT(CatP, CatT, Tscale=[15,30], Pscale=[0.0,30.0], CatdP=CatdP, errorbars='true', Source=FullName)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "491d0620",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Saving figures\n",
    "# PNG\n",
    "PvI_plot_Step2.savefig('Plots/'+SourceName+'_PvI_plot_Step2.png',dpi=300)\n",
    "PvN_plot_Step2.savefig('Plots/'+SourceName+'_PvN_plot_Step2.png',dpi=300)\n",
    "PvT_plot_Step2.savefig('Plots/'+SourceName+'_PvT_plot_Step2.png',dpi=300)\n"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "PoLiteWIP",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.8"
  }
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